Categorical Decomposition Techniques in Algebraic Topology : International Conference in Algebraic Topology, Isle of Skye, Scotland, June 2001

The book consists of articles at the frontier of current research in Algebraic Topology. It presents recent results by top notch experts, and is intended primarily for researchers and graduate students working in the field of algebraic topology. Included is an important article by Cohen, Johnes and Yan on the homology of the space of smooth loops on a manifold M, endowed with the Chas-Sullivan intersection product, as well as an article by Goerss, Henn and Mahowald on stable homotopy groups of spheres, which uses the cutting edge technology of "topological modular forms". Front Matter....Pages i-vii The Functor T and the Cohomology of Mapping Spaces....Pages 1-20 On Morava K -theories of an S -arithmetic Group....Pages 21-30 Ext Groups for the Composition of Functors....Pages 31-45 Homotopy Operations and Rational Homotopy Type....Pages 47-75 The Loop Homology Algebra of Spheres and Projective Spaces....Pages 77-92 On Braid Groups, Free Groups, and the Loop Space of the 2-Sphere....Pages 93-105 The K -completion of E 6 ....Pages 107-124 The Homotopy of L 2 V (1) for the Prime 3....Pages 125-151 Spherical Space Forms — Homotopy Types and Self-equivalences....Pages 153-165 The Homotopy Type of Two-regular K -theory....Pages 167-178 Strict Model Structures for Pro-categories....Pages 179-198 L-S Categories of Simply-connected Compact Simple Lie Groups of Low Rank....Pages 199-212 The McCord Model for the Tensor Product of a Space and a Commutative Ring Spectrum....Pages 213-235 Spaces of Multiplicative Maps between Highly Structured Ring Spectra....Pages 237-259 Colimits, Stanley-Reisner Algebras, and Loop Spaces....Pages 261-291 Maps to Spaces in the Genus of Infinite Quaternionic Projective Space....Pages 293-302 Back Matter....Pages 303-304